My daughter was working on a math problem today. She initially got it wrong, and as I was helping her with it the second time, I came across something I thought was pretty cool.
The problem called for her to calculate the perimeter of a rectangle. The rectangle had two sides that measured 16 units and two that measured eight units. The answer was 48, but the coolness lies in something further.
If you add the two eight-unit sides, you get 16. Now you have a total of 3 16’s. The square root of 16 is 4, or 4 x 4 = 16.
Now, if you multiply the 3 by the first 4, you get 12. If you multiply that 12 by the second 4, you get, surprise, 48 (or 16 + 16 + 16).
This works with any whole number that is a square. That number added three times (or multiplied by three) equals its square root multiplied by the product of its square root and three.